Homotopy equivalences and Grothendieck duality over rings with finite Gorenstein weak global dimension

J Wang, S Estrada - arXiv preprint arXiv:2402.03010, 2024 - arxiv.org
Let $ R $ be a ring with Gwgldim $(R)<\infty $. We obtain a triangle-equivalence $\mathrm
{K}(R\text {-}\mathrm {GProj})\simeq\mathrm {K}(R\text {-}\mathrm {GInj}) $ which restricts to a …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

Gorenstein -flat modules and weak global dimensions

V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …

与弱倾斜模有关的对偶对

罗佩, 杨晓燕 - 吉林大学学报(理学版), 2021 - xuebao.jlu.edu.cn
与弱倾斜模有关的对偶对 Page 1 第59卷第6期 吉林大学学报(理学版) Vol.59 No.6 2021年11月
JournalofJilinUniversity(ScienceEdition) Nov 2021 doi:10.13413/j.cnki.jdxblxb.2021122 与弱 …

[PDF][PDF] HOMOLOGICAL ASPECTS OF GORENSTEIN FLAT MODULES RELATIVE TO DUALITY PAIRS

V BECERRIL, MA PÉREZ - arXiv preprint arXiv:2210.11014, 2022 - researchgate.net
We study homological aspects of Gorenstein flat modules over a ring with respect to a
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …

-Gorenstein flat homological dimensions

V Becerril - arXiv preprint arXiv:2203.09012, 2022 - arxiv.org
In this paper we develop the homological properties of the $(\mathcal {L},\mathcal {A}) $-
Gorenstein flat $ R $-modules $\mathcal {GF} _ {(\mathcal {F}(R),\mathcal {A})} $ proposed …

On the Triviality of Gorenstein -Modules

X Wang - Bulletin of the Iranian Mathematical Society, 2024 - Springer
Let (L, A) be a bi-complete duality pair. We consider when the relative Gorenstein modules
with respect to such a duality pair coincide with the classical homological modules. As …